Active ingredient of a pill comprises 45% of the pill mass. If a pill contains 325 mg of active ingredient,
what the total mass of the pill?
Answer:
Step-by-step explanation:
The idea here is to be able to write and then solve the equation needed for this. In words, this is what you are looking to solve: "The active ingredinet is 45% of the mass of the pill". Putting those words into an equation:
active ingredient = .45 (mass of pill). Since our active ingredient is 35 mg:
325 = .45m and divide by .45:
m = 722.2 mg
A marketing research manager analyzes the data collected through loyalty cards at a popular local coffee shop. She investigates the relationship between repeated visits and the age of the customer. Interpret the analysis results, if her findings show that the correlation coefficient between these two variables is 0.64. What does it mean from a marketing perspective
Answer: See explanation
Step-by-step explanation:
Correlation is a term which simply measures the strength of the linear relationship that exist between two variables that are quantitative.
In the scenario in the question, since the correlation coefficient between the variables is +0.64, it means that there is a positive correlation between the two variables which means there's a positive relationship between the repeated visits to the coffee shop and the customer's age but they're weakly positively correlated .
The Sine Function
If you were to graph a sine function from the data listed in the table above, what values would be represented by the dependent variable and what would be represented by the independent variable?
Answer:
The 'Days since Jan 8' would be represented by the independent variable. 'The Amount of Moon Visible' would be represented by the dependent variable.
Step-by-step explanation:
I calculated it logically
In triangle JKL, the length of side JK is 12 feet, and the length of side KL is 15 feet. Which of the following could be the length of side JL?
A.
27 feet
B.
30 feet
C.
3 feet
D.
4 feet
Answer:
D
Step-by-step explanation:
every 2 sides of a triangle has to be bigger than the 3rd side
HELP WILL MARK BRAINLIEST
Answer:
Runner A
Step-by-step explanation:
most consistent pace dots are close together and don't have any outliers like b and c do
A prism_________ has two congruent, parallel bases.
A: sometimes
B: always
C: never
Answer:
A prism will always have two congruent parallel bases.
Step-by-step explanation: the definition of a prism is: a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. Hope that helps and rate brainiest please!
50 points! Can you please be honest and answer these 3 questions.
Answer:
1. 5/10
2. 0.54
3. √3 and -1/16????
I think
sorry if I wrong
Putting soil is sold in bags that contain 1/2 cubic foot of soil. Estimate how many bags Rylee should buy.
9514 1404 393
Answer:
11 bags
Step-by-step explanation:
12. As you noted in problem 11, the volume needed to fill the three pots is 5.05 cubic feet. The number of bags needed is ...
(5.05 ft³)/(0.5 ft³/bag) = 10.1 bags
10 bags is not quite enough. Rylee should buy 11 bags of potting soil.
_____
Additional comment
As a practical matter, the difference between what Rylee needs and what is contained in 10 bags is about 1%. It would be very difficult to tell that 0.1 cubic foot is missing if Rylee simply used the contents of 10 bags. If Rylee purchases 11 bags, most (4/5) of the last bag will remain unused.
The half-life of caffeine in a person's bloodstream is about 6 hours. If a person's bloodstream contains 70 milligrams of caffeine,how much of that caffeine will remain after 15 hours ?
Answer:
12.4 mg
Step-by-step explanation:
a = p(1/2)^(t/h)
p is the initial quantity = 70
t is the time = 15
h is the half life = 6
plug in the givens
a = 70(1/2)^(15/6)
a = 12.3743686708
12.4 mg
Joe, working alone, takes 8 hours to mow a lawn. Sally, working alone, can mow the same lawn in 6 hours. How long does it take them together to mow the lawn (each using their own seperate mower)?
Answer: 3 3/7 hours
Step-by-step explanation:
you need to find out how much work they can do in an hour.
let x represent the total collaborative work
1/8 + 1/6 = 1/x
3/24 + 4/24 = 1/x
7x = 24
x = 24/7 or 3 3/7 hours (in decimal form this is 3.4286)
I cannot guarantee this is correct but hope it helped
What is the measure of angle SQR?
Answer:
All sides are the same length (congruent) and all interior angles are the same size (congruent). if Sqr refers to square
Mr. Litterski creates a ball from rubber bands.
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit. HELP PLEASE!!
Answer:
The surface area of the ball is of 29 square inches.
The volume of the ball is of 15 cubic inches.
Step-by-step explanation:
The ball has an spherical format:
Circumference of a sphere:
The circumference of a sphere is 6.2832 times the radius.
Surface area
[tex]A = 4\pi r[/tex]
In which r is the radius.
Volume:
[tex]V = \frac{4\pi r^3}{3}[/tex]
The circumference of the ball is 9.4 inches.
So the radius is:
[tex]6.2832r = 9.4[/tex]
[tex]r = \frac{9.4}{6.2832} = 1.53[/tex]
Surface area
[tex]A = 4\pi(1.53)^2 = 29.3[/tex]
Rounding to the nearest unit, the surface area of the ball is of 29 square inches.
Volume:
[tex]V = \frac{4\pi (1.53)^3}{3} = 14.9[/tex]
Rounding to the nearest unit, the volume of the ball is of 15 cubic inches.
• 3.3
• 5.0
• 6.7
• 8.4
• 10.1
Which one is it?
Answer: 5.0
Step-by-step explanation:
Solve for x using the picture above.
Does anyone know what the monthly payment is?:/
====================================================
Explanation:
The formula given is
[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]
which to be honest is a big ugly mess of variables. The fractions also make things even more messy. Through trial and error, you can find various ways to help clean up the formula.
Notice how the "r/12" seems to show up a lot. Let's replace that fraction with the variable A.
So we'll make A = r/12
Because of that, the expression [tex]\left(1+\frac{r}{12}\right)^{12*t}[/tex] turns into [tex]\left(1+A\right)^{12*t}[/tex]
After replacing all the "r/12" terms with "A", we have the formula
[tex]M = \frac{P*\left(\frac{r}{12}\right)*\left(1+\frac{r}{12}\right)^{12*t}}{\left(1+\frac{r}{12}\right)^{12*t}-1}\\\\[/tex]
turn into
[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]
which is a bit simpler in my opinion.
------------------
We could also let
B = (1+A)^(12t)
which would then allow us to go from this
[tex]M = \frac{P*A*\left(1+A\right)^{12*t}}{\left(1+A\right)^{12*t}-1}\\\\[/tex]
to this
[tex]M = \frac{P*A*B}{B-1}\\\\[/tex]
and that's even more simple
---------------------
We're given the following values
P = 75,000 = amount loanedr = 0.023 = annual interest rate in decimal formt = 10 = number of yearsBased on those values, we can say
A = r/12 = 0.023/12 = 0.00191667 approximatelyB = (1+A)^(12*t) = (1+0.00191667)^(12*10) = 1.25832348 approximatelyFrom here, we plug the values of P, A, and B into the simplified version of the formula below.
[tex]M = \frac{P*A*B}{B-1}\\\\M \approx \frac{75000*0.00191667*1.25832348}{1.25832348-1}\\\\M \approx \frac{180.88431483087}{0.25832348}\\\\M \approx 700.22405563\\\\M \approx 700.22\\\\[/tex]
The monthly payment is roughly $700.22
Select the correct solution in each column of the table
Answer:
2,1,3
Step-by-step explanation:
Today, 5 friends went out for lunch. Their total bill was $20.82, including tax and gratuity. One of the ordered only soda and needed to pay only $1.70. The
other 4 friends ordered the same daily special. How much did each of the other friends need to pay?
There are 24 students in a class. 8 of the students are boys. Write th amount of the boys in the class as a fraction in its simplest form.
Step-by-step explanation:
the number of students =24
number of boys =8
to have in fraction
8/24 = 1/3
someone please help, will reward brainliest!!
Answer:
Step-by-step explanation:
-7m-8=m-4
Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles
Answer:
Opposite angles are the same measure.
Angles around a point = 360°
When you add all the angles, you get 360.
Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.
Then, you half that value( divide by 2) and this is to find the measure of the other angle
please help asap!!!!!!!!!!!!!!!!!!!!!
Answer:
X=29
Step-by-step explanation:
Sin62=x/33
X=29.137≈29
Please answer correctly with factual information for brainliest.
Answer:
I would say 54 units (sorry if I'm wrong)
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower. A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours. The sample data are approximately symmetric and unimodal with no outliers. Check conditions, show how the test statistic is calculated. Test using a 10% significance level. State your conclusion in the context of the problem.
Answer:
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
Step-by-step explanation:
A manufacturer reports that the mean lifetime of its lithium batteries is 1100 hours, but there are customer complaints that the battery life is lower.
At the null hypothesis, we test that the mean lifetime of the battery is of 1100 hours, that is:
[tex]H_0: \mu = 1100[/tex]
At the alternate, we test that is is lower, that is:
[tex]H_a: \mu < 1100[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
1100 is tested at the null hypothesis:
This means that [tex]\mu = 1100[/tex]
A consumer advocate group selects 25 of these batteries at random and finds the mean lifetime to be 1080 hours with a standard deviation of 80 hours.
This means that [tex]n = 25, X = 1080, s = 80[/tex]
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1080 - 1100}{\frac{80}{\sqrt{25}}}[/tex]
[tex]t = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean below 1080, which is found using a left-tailed test for t = -1.25, with 25 - 1 = 24 degrees of freedom.
With the help of a calculator, this p-value is of 0.1117
The p-value of the test is 0.1117 > 0.1, which means that there is not significant evidence at the 10% significance level that the battery life is lower than 1100 hours.
SOMEONE HELP AS SOON AS POSSIBLE!!!! please:))
Quita bought a jacket priced at $90. The sales tax rate on the jac
was 7%.
How much was the sales tax in dollars and cents on this jacket
Answer:
Sales tax= $6.30
Jacket= $0.9630
Step-by-step explanation:
Jacket price= $90
Sales tax= 7%
Sales tax in dollars
=7/100×90
=$6.30
Jacket in cents
=$90+$6.30
=$96.30 ÷100
=$0.9630
Right circular cylinder has volume and radius. Right circular cylinder is similar to cylinder and has volume. Find the radius of cylinder.
Answer: where’s the picture
Step-by-step explanation:
Hum
Is the relation a function? Why or why not?
Which function is represented by the graph ?!
Please what’s the answer will give brainliest
Answer:
8.66 cm
Step-by-step explanation:
From the diagram :
The vase of the triangle = 9.9cm - 4.9 cm = 5cm
Hence, using Pythagoras rule :
Opposite = √hypotenus² - Adjacent²
Opposite = √10²-5²
Opposite = √100 -25
Opposite= √75
= 8.66 cm
2 5/6 times 8 as a mixed number.
Answer:
lets make it an improper fraction:
17/6 x 8/1(consider 8 over 1) = 22 2/3
Simplify first though
17 x 8 divide by 2 = 4
_____
6 divide by 2 = 3 (8 and 6 are divisible by 2)
Your new simplified multiplication:
17 x 4
_____ then you can do your multiplication across.
3